2825957904 has 320 divisors, whose sum is σ = 9410826240. Its totient is φ = 715545600.

The previous prime is 2825957879. The next prime is 2825957909. The reversal of 2825957904 is 4097595282.

It is not an unprimeable number, because it can be changed into a prime (2825957909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31752292 + ... + 31752380.

It is an arithmetic number, because the mean of its divisors is an integer number (29408832).

Almost surely, 2^2825957904 is an apocalyptic number.

2825957904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2825957904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4705413120).

2825957904 is an abundant number, since it is smaller than the sum of its proper divisors (6584868336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2825957904 is a wasteful number, since it uses less digits than its factorization.

2825957904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The square root of 2825957904 is about 53159.7395027478. The cubic root of 2825957904 is about 1413.8019057666.

The spelling of 2825957904 in words is "two billion, eight hundred twenty-five million, nine hundred fifty-seven thousand, nine hundred four".